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Physics of Metals and Metallography

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01.07.2023 | ELECTRICAL AND MAGNETIC PROPERTIES

Simulation of the Three-Component Potts Model on a Hexagonal Lattice by the Monte Carlo Method

verfasst von: A. B. Babaev, A. K. Murtazaev

Erschienen in: Physics of Metals and Metallography | Ausgabe 7/2023

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Abstract

Computer simulation of the three-component Potts model on a hexagonal lattice was carried out using the Monte Carlo method. Systems with linear dimensions L × L = N, L = 20–320 in units of interatomic distances are considered. Based on the theory of finite-size scaling, the static critical exponents of heat capacity α, susceptibility γ, magnetization β, and correlation radius ν are calculated. The data we obtained confirm that in the considered Potts model on a hexagonal lattice, a second-order phase transition is observed with critical exponents corresponding to the universality class of the three-component Potts model.

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Titel: Simulation of the Three-Component Potts Model on a Hexagonal Lattice by the Monte Carlo Method
verfasst von: A. B. Babaev
A. K. Murtazaev
Publikationsdatum: 01.07.2023
Verlag: Pleiades Publishing
Erschienen in: Physics of Metals and Metallography / Ausgabe 7/2023
Print ISSN: 0031-918X
Elektronische ISSN: 1555-6190
DOI: https://doi.org/10.1134/S0031918X23600896

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